Question

rationalise the denominator of the following 1/√ 5,√3+√2/√3-√2, 1/√2+1

Answer 1

$Hey\:There$‼

• 1 / √5

= 1 / √5 × √5 / √5

= √5 / 5
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• ( √3 + √2 ) / ( √3 – √2 )

= ( √3 + √2 ) / ( √3 – √2 ) × ( √3 + √2 ) / ( √3 + √2 )

= ( √3 + √2 )² / [ ( √3 )² – (√2 )² ]

= ( 3 + 2 + 2√6 ) / ( 3 – 2 )

= 5 + 2√6
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• 1 / ( √2 + 1 )

= 1 / ( √2 + 1 ) × ( √2 – 1 ) / ( √2 – 1 )

= ( √2 – 1 ) / [ (√2 )² – ( 1 )² ]

= ( √2 – 1 ) / ( 2 – 1 )

= √2 – 1
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Answer 2

Helll friend

Good evening

Your answer is in the attachment

I hope it will help you a lot

Thanks

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